Factors of 396
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, and 396. In total, 396 has 18 factors. Its prime factorization is 2² × 3² × 11, and the sum of all its factors is 1092.
All factors of 396
Here are all 18 factors of 396, listed from smallest to largest.
Factor pairs of 396
These 9 pairs of whole numbers each multiply to give 396.
Prime factorization of 396
Dividing 396 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 396 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 396
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 396
| Number of factors | 18 |
|---|---|
| Sum of factors | 1092 |
| Sum of proper factors | 696 |
| Prime factorization | 2² × 3² × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 396 interesting
- 396 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
- 396 is an abundant number: its proper factors sum to 696, which is 300 more than 396 itself.
- 396 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.
How to find the factors of 396 yourself
Divide 396 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √396 ≈ 19.90, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 396.
Frequently asked questions about 396
What are the factors of 396?
Is 396 a prime number?
What is the prime factorization of 396?
What two numbers multiply to give 396?
What is the sum of the factors of 396?
Is 396 a perfect square?
What is the largest factor of 396 other than itself?
How many factors does 396 have?
Explore more
Try another number in the factor calculator, break 396 down further with the prime factorization calculator, or compare 396 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.